Final answer:
The perfect square closest to 54 is 49, and since the square root of 49 is 7, option b) Estimate: 7, VN: 49 is the correct estimation for the equation √v² = 54.
Step-by-step explanation:
To estimate the solution to the equation √v² = 54 using the perfect square closest to 54, we need to consider which perfect square that is closest to 54 would offer the best estimation when taking its square root.
The options provided are:
- Estimate: 8, VN (Value of the Number): 64
- Estimate: 7, VN: 49
- Estimate: 9, VN: 81
- Estimate: 6, VN: 36
Since 49 is the perfect square that is closest to 54, the best estimate for the solution of the equation would be the square root of 49, which is 7. Correspondingly, option b) Estimate: 7, VN: 49 is correct.